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Veronika [31]
2 years ago
8

In ΔLMN, n = 960 cm, ∠L=160° and ∠M=10°. Find the length of l, to the nearest centimeter.

Mathematics
2 answers:
Shtirlitz [24]2 years ago
4 0

Answer:

Step-by-step explanation:

nh

Alexxandr [17]2 years ago
3 0

Answer:

1,890.8cm

Step-by-step explanation:

Sine law!! So drawing the triangle helps, We know that the angle n is 10 because 180 - 10 -160 =10. Knowing that you can now use the sine law.

x/sin160 = 960/ sin 10

x= sin 160 (5528.4)

x= 1890.8cm

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It cost Jayden $4.80 to send 96 text messages. How much would it cost to send 155 text messages?
TEA [102]
96 messages .... $4.80
155 messages .... x

x= (155x4.80):96=7.75
3 0
2 years ago
The speed of a sparrow is x km/h in still air. When the
Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km  (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

or

x = 5 (answer)

4 0
2 years ago
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work
ivanzaharov [21]
Anita can clean 1/8 portion of the pool in 1 hour

Chao can clean 1/6 portion of the pool in 1 hour

Both of them working together can clean 1/8 + 1/6 = 7/24 portion of the pool in 1 hour

Therefore, it will take both of the working together 1/(7/24) = 24/7 or 3 3/7 hours to clean a typical pool.
3 0
2 years ago
The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol
Vika [28.1K]

Answer: $2193

Step-by-step explanation:

v(x) = 32,500(.92)^{x}

Plug two and three in for x

v(2) = 32,500(.92)^{2}

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500(.92)^{3}

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

7 0
2 years ago
What is the area of the triangle in the diagram?
dsp73

Answer:

The answer is the 2nd one

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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